More than 27 per cent of Liberal voters and 32.7 per cent of National voters said they would have changed their vote if they had been aware of the legislation.

Independent MP Alex Greenwich's bill, which had the support of Health Minister Brad Hazzard, passed the lower house with 59 MPs in favour and 31 against on August 8. It will be debated in the upper house this week.

Ms Berejiklian has said she voted in favour of the bill "for the next generations" of NSW women to stop them being prosecuted for terminations.

The latest poll of more than 1000 people was conducted for the Australian Christian Lobby and also found that more than half the people questioned did not believe an abortion should take place after 22 weeks.

Kieren Jackson, NSW director of the Australian Christian Lobby, said: "This poll shows that MPs backing this bill are out of touch with their community's concerns around late term abortion, sex-selective abortions, and the care given to babies born alive.

"This radical abortion law is being rammed through without public support. The community, who have been excluded and ignored, reject this extreme bill," he said.

Another poll conducted by right to life group the Foundation for Human Development found that more than half the Coalition voters in five key National held electorates were less likely to vote for their MP in the next election.

Right to Life NSW chief executive officer Dr Rachel Carling said Coalition voters had been left out of the debate.

"This bill was not brought up at the NSW Nationals Conference at the end of June. It's no wonder that the voters are reacting as they are," she said.